Multiply. 42.9 × 3.45

Answer:

x represents nickels = 2

3x represents number of quarters = 6

Step-by-step explanation:

x represents nickels

3x represents number of quarters

We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x

x(0.05) + 3x(0.25) = 1.60

0.05x + 0.75x = 1.60

0.80x = 1.60

x = 2 = number of nickels

So 3x = 6 = number of quarters

Checking the math:

2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60

Answer:

$96.35

Step-by-step explanation:

31.45 x 2 = 62.90

62.90 + 18.50 + 14.95 = $96.35

Step-by-step explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

• According to Question :-

[tex]\tt\to Area_{(\triangle)}=\dfrac{base\times height}{2}\\\\\tt\to 144cm^2 = \dfrac{9h\times h}{4\times 2 } \\\\\tt\to h^2 =\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }\\\\\tt\to h =\sqrt{\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }}\\\\\tt\to h =\dfrac{(12)(2)}{3} \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}[/tex]

Therefore ,

Hints on solving trigonometry problems:

If no diagram is given, draw one yourself.

Mark the right angles in the diagram.

Show the sizes of the other angles and the lengths of any lines that are known

Mark the angles or sides you have to calculate.

Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.

Decide whether you will need Pythagorean theorem, sine, cosine or tangent.

Check that your answer is reasonable. The hypotenuse is the longest side in a right triangle.

How to use the tangent ratio to find missing sides or angles?

Example:

Answer:

Value of equation = 26.25

Step-by-step explanation:

Given:

Equation given

-4a² + 3ab - (2a + 3b)

Given value of a = 1/4

Given value of b = -12

Find:

Value of equation

Computation:

-4a² + 3ab - (2a + 3b)

By putting value of a and b

-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]

-4(1/16) - (36/4) - [2/4 - 36]

-4/16 - 36/4 - [-142/4]

- 0.25 - 9 + 142/4

-0.25 - 9 + 35.5

Value of equation = 26.25

Answer:

[tex](a)\ d'(x) = x + 32[/tex] i.e. The inverse function

[tex](b)\ d'(10) = 42[/tex] i.e. The French size of a dress if it is U.S. size 10 is 42.

Step-by-step explanation:

Given

[tex]d(x) = x - 32[/tex]

Solving (a): The inverse function

[tex]d(x) = x - 32[/tex]

Replace d(x) with y

[tex]y = x - 32[/tex]

Swap y and x

[tex]x = y - 32[/tex]

Make y the subject

[tex]y = x + 32[/tex]

Replace y with d'(x)

[tex]d'(x) = x + 32[/tex]

Hence, the inverse function is: [tex]d'(x) = x + 32[/tex]

Solving (b): US size of 10

[tex]d'(x) = x + 32[/tex]

Substitute [tex]x =10[/tex]

[tex]d'(10) = 10 + 32[/tex]

[tex]d'(10) = 42[/tex]

Answer:

1/35

Step-by-step explanation:

P= 6 *13! / 15! = 1/35

The probability of two east high school swimmers to come first and second is 1/35.

How to calculate probability?

First, let us calculate the number of desired outcomes:

The first position has 3 possibilities and 2nd position has 2 possibilities and 3rd position has 13 possibilities (leaving people of 1st and 2nd position).

Total=2.3.13

Now, calculate the total outcome:

1st position has 15 possibilities, 2nd has 14 and 3rd has 13.

Total=15.14.13

Probability=desired outcome/total outcome

                 =2.3.13/15.14.13

                 =1/35

Therefore, probability of the given situation is 1/35.

To know more about probability refer:

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The requried length of the AB is given as AB = 16.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Since triangle DEF is formed by connecting the midpoints of the sides of triangle ABC, the length of the sides of triangle DEF is half the length of the corresponding sides of triangle ABC. That is:

DE = 1/2 AB

EF = 1/2 BC

FD = 1/2 AC

We can use the information about the lengths of the sides of triangle DEF to find the length of AB.

Since DE = 8 and EF = 10, we can use the triangle inequality to find FD:

FD + DE > EF

FD + 8 > 10

FD > 2

Similarly, since EF = 10 and FD = 12, we can use the triangle inequality to find DE:

DE + EF > FD

DE + 10 > 12

DE > 2

Finally, since DE = 8 and FD = 12, we can use the triangle inequality to find EF:

EF + FD > DE

EF + 12 > 8

EF > -4

Since all sides of a triangle must have positive lengths, EF cannot be negative. Therefore, the inequalities we have found imply that:

2 < FD < 12

2 < DE < 8

0 < EF < 10

Since DE = 1/2 AB and EF = 1/2 BC, we can write:

AB = 2DE = 2(8) = 16

BC = 2EF = 2(10) = 20

Therefore, the length of AB is 16.

Learn more about triangles here:
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Answer:

Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!  

Step-by-step explanation:

Answer: The answer is A.

Step-by-step explanation:

The formula for the area of circles:

A = πr^2

Plug in the radius

A = π8^2

A = π64

A = 201.06192983/ 201 (rounded)

Answer:

A

Step-by-step explanation:

The formula for area of a circle is πr^2. the radius is 7 so pie time 7 times 2 square equal ≈201

Answer:

LOL

Step-by-step explanation:

└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘

Answer:

ITS X=14 GURL TRUST

Step-by-step explanation:

Answer:

1 outta of 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 out of 4

there are four letters and the probability he will chose one is one out of the four letters.

Answer:

[tex](a)\ x + 4 = \±\sqrt9[/tex] ---- [tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex] ---- [tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex] ----- [tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex] ---- [tex]x = \{-1,7\}[/tex]

Step-by-step explanation:

Given

The attached equations

Required

Match each with the solution

[tex](a)\ x + 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x + 4 = \±3[/tex]

Solve for x

[tex]x =- 4 \±3[/tex]

Split

[tex]x =\{- 4 -3,- 4 +3\}[/tex]

[tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x - 4 = \±3[/tex]

Solve for x

[tex]x = 4 \±3[/tex]

Split

[tex]x = \{4 -3,4+3\}[/tex]

[tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x + 3 = \±4[/tex]

Solve for x

[tex]x =- 3 \±4[/tex]

Split

[tex]x = \{-3-4,-3+4\}[/tex]

[tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x - 3 = \±4[/tex]

Solve for x

[tex]x =3 \±4[/tex]

Split

[tex]x = \{3-4,3+4\}[/tex]

[tex]x = \{-1,7\}[/tex]

Answer:

It's B or C, I can't see it clearly sorry!

Step-by-step explanation:

Answer:

2 are left over

since 7 goes into 30 4 times which makes 28 books. Meaning 2 are going to be left over

Answer:

2:5

Step-by-step explanation:

Answer:

hii

have a good day for you!

Answer:

8

Step-by-step explanation:

9514 1404 393

Answer:

  (a) 3%

Step-by-step explanation:

Nathan's actual mileage was ...

  (2882 mi)/(131 gal) = 22.0 mi/gal

The error can be computed from ...

  error % = (predicted/actual -1) × 100% = (22.6/22 -1) × 100% ≈ 2.73%

Nathan's prediction was high by about 3%.

Answer:

You know you forgot to put a pictures I would recommend to put a picture to get desired answers!

Step-by-step explanation:

Answer:7,10,13,16

:))))

Answer:

Part A: Mean = 2

Part B: 6

Step-by-step explanation:

Part A: Add all the data piece's and divide by total value

Part B: Subtract the mean from each piece of data in the dat set and find the absolute value of each answer. 1+1+0+0+1+1+1+1 = 6

The mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The number of pets owned by eight classmates is shown below:

[tex]1, 3, 2, 2, 1, 3, 3, 1[/tex]

The total number of pets are 8. The mean is the ratio of sum of all the values to the total values. Thus,

[tex]m=\dfrac{1+ 3+ 2+ 2+1+3+3+1}{8}\\m=\dfrac{16}{8}\\m=2[/tex]

The mean absolute deviation (MAD), can be calculate by adding difference of each data from mean and then divided by number of terms.

[tex]\text{MAD}=\dfrac{(1-2)+ (3-2)+ (2-2)+ (2-2)+(1-2)+(3-2)+(3-2)+(1-2)}{8}\\\text{MAD}=\dfrac{6}{8}\\\text{MAD}=0.75[/tex]

Thus, the mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

Learn more about the mean here;

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Answer:

cosβ

Step-by-step explanation:

cot(β+π)sinβ

cot(x)=cos(x)/sin(x), so we can rewrite our expression as:

(cos(β+π)/sin(β+π)) * sinβ

sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:

(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)

cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:

(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)

cosπ=-1 and sinπ=0, so we can rewrite our expression as:

(-cosβ)/(-sinβ) * sin(β)

(-cosβ)/(-sinβ) * sin(β)

=(cosβ/sinβ)(sinβ)

=cosβ

34.75

35.15

You didnt give any choices so i just picked two random ones.

Answer: Penny is closer

Step-by-step explanation:

1 mile is 1760 yards- so 2 miles is 3520 yards, so Penny is closer... which makes no sense since they live in the same building, but there you have it